English

Noether current from surface term, Virasoro algebra and black hole entropy in bigravity

High Energy Physics - Theory 2013-08-27 v3 General Relativity and Quantum Cosmology

Abstract

We consider the static, spherically symmetric black hole solutions in bigravity theory for minimal model with a condition fμν=C2gμνf_{\mu \nu} = C^{2} g_{\mu \nu} and evaluate the entropy for black holes. In this condition, we show that there exists the Schwarzschild solution for C2=1C^{2} = 1, which is unique consistent solution. We examine how the massive spin-2 field contributes and affects to the Bekenstein-Hawking entropy corresponding to Einstein gravity. In order to obtain the black hole entropy, we use a recently proposed approach which use Virasoro algebra and central charge corresponding to surface term in the gravitational action.

Keywords

Cite

@article{arxiv.1304.3181,
  title  = {Noether current from surface term, Virasoro algebra and black hole entropy in bigravity},
  author = {Taishi Katsuragawa and Shin'ichi Nojiri},
  journal= {arXiv preprint arXiv:1304.3181},
  year   = {2013}
}

Comments

7 pages, version to appear in Physical Review D